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Finding the Fourth Proportional to 1,341.15, 1,850.72 and 743.63

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Solution

The fourth proportional to 1,341.15, 1,850.72 and 743.63 is: 1,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.15 : 1,850.72 = 743.63 : x
  2. Step 2: Convert to fraction form
    1,341.15/1,850.72 = 743.63/x
  3. Step 3: Cross multiply
    1,341.15x = 1,850.72 × 743.63
  4. Step 4: Simplify right side
    1,341.15x = 1,376,237.94
  5. Step 5: Solve for x
    x = 1,376,237.94/1,341.15
  6. Step 6: Final answer
    x = 1,026.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.